I haven't been tested for Coeliacs but I kinda worked out I was intolerant to something back in January. I am indeed lactose intolerant also and for many years I haven't been able to eat shellfish either (that makes me seriously ill). Oh yeah, and all of a sudden I became intolerant to Ibuprofen of all things :)
I've found that I cannot eat wheat, corn, millet and rice for sure. I haven't yet tried oats or barley.
I do seem to be becoming less sensitive over time though. Every now and then I'll have some dairy or wheat and over the last couple of months the symptoms have been less pronounced when I have done this.
Haven't tried any of these gluten free flours apart from chick pea flour but I've only used it for Bhajis.
I haven't tried baking with any of these wierd and wonderful gluten free flours. Never been hugely into baking. Miss pasta the most but I've tried all sorts of wheatflour alternative pastas but I've reacted to every single one unfortunately.